Identities
ICSE · Class 8 · Mathematics
Practice quiz for Identities — ICSE Class 8 Mathematics. MCQs and questions with answers to test your preparation.
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Quick Quiz: Identities
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
Simplify (x + 7)(x - 4).
Expand (3a - 2b)(3a + 2b) and choose the correct result.
Evaluate (200 + 8)^2.
Evaluate (10 - 0.3)^2.
Sample Questions
If a + b = 8 and ab = 15, find a^2 + b^2.
Show answer
34
Use (a + b)^2 = a^2 + b^2 + 2ab. Given a + b = 8 and ab = 15. 8^2 = a^2 + b^2 + 2×15 64 = a^2 + b^2 + 30 So, a^2 + b^2 = 64 - 30 = 34.
If a - b = 3 and a^2 + b^2 = 29, find ab.
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10
Use (a - b)^2 = a^2 + b^2 - 2ab. Given a - b = 3 and a^2 + b^2 = 29. 3^2 = 29 - 2ab 9 = 29 - 2ab 2ab = 20 ab = 10.
If a + b + c = 9 and a^2 + b^2 + c^2 = 29, find ab + bc + ca.
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26
Use (a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca). Given a + b + c = 9 and a^2 + b^2 + c^2 = 29. 9^2 = 29 + 2(ab + bc + ca) 81 = 29 + 2(ab + bc + ca) 52 = 2(ab + bc + ca) ab + bc + ca = 26.
If a + b = 5 and ab = 6, find a^3 + b^3.
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35
Use a^3 + b^3 = (a + b)^3 - 3ab(a + b). Given a + b = 5 and ab = 6. So, a^3 + b^3 = 5^3 - 3×6×5 = 125 - 90 = 35.
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